MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CAFDD3.FD29C3E0" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01CAFDD3.FD29C3E0 Content-Location: file:///C:/23661C84/vol_cap_densidad.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" REPASO DE ALGUNOS CONCEPTOS COMPLICADOS

 

 

 

REPASO DE ALGUNOS CONCEPTOS COMPLICADOS

 

 

<= b>1.    La materia:

 

Es todo aquello que tiene masa y ocupa un volumen en el espacio. Por eso podemos medir estas dimensiones y expresarlas numéricamente.

 

8  Ejemplos:

-      =    un dado del parchís pesa 5g y ocupa un volumen de 1cm3

-      =    el aire que conti= ene un globo pesa 0, 3g y ocupa un volumen de 150cm3<= /p>

 

 

 

<= b>2.    Volumen y capacidad:

 

El volumen es la cantidad de espacio que ocupa un cuerp= o. Como hay tres dimensiones, ancho, largo y alto, es una medida que se deriva= de estas tres longitudes y por lo tanto su unidad se expresará en m3, dm3, cm3, etc.

Para movernos en esta escala debemos multiplicar o dividir por 1000 (10 de ancho= x 10 de alto x 10 de largo).

 

1 m3 =3D 1000 dm3 =3D 1000000 cm3

 

m= 3

d= m3

c= m3

m= m3

1

000

000

000

000

000

1

000

 

 =

 


Imagina que este cubo mide 1m de alto, 1m de largo y 1m de ancho. O lo que es lo mi= smo: 10 dm en cada dimensión.

 

 

Queremos pasar 1 m3 a dm3= , es decir calcular cuantos dm3 contiene. Para ello podemos fijarnos primero en un “piso”: tiene 10 dm de largo por 10 dm de ancho, o sea 100 dm2  (cada uno de los cubitos del dibujo, ¡puedes contarlos si quieres!).

 

 

Si ahora queremos calcular cuantos dm3 tiene en total el cubo completo, tendremos que multiplicar esos 100 dm2 de cada “piso” por los 10 “pisos” del cubo, es decir 1= 000 dm3:

       

3D"Cuadro<= ![endif]>        =   1 dm

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =   

 

 

Ejemplo de cambio de unidades: 1cm3 =3D 0,001 d= m3 =3D 0,000001 m3

25dm3= =3D 25000 cm3 =3D 0,25 m3

180 cm3 =3D 0,18 dm3 =3D 0,00018 cm3

2346 cm3 =3D 2,346dm= 3 =3D 0,00246 m3

 

8  = Ahora practica tú:

·      =   3123 dm= 3 son ...........= .... m3

·        12 m3= son ……………. dm3

 

 

8  = Sin embargo el m3 es una unidad que no es conveniente para un uso habitual o doméstico, porque es enorme: ¡Imagínate un c= ubo que mida un metro de ancho, otro de alto y otro de largo!, sería realmente incómodo comprar un metro cúbico de leche, por ejemplo...

 

 

La capacidad es una medida inventada” para evitar esta dificultad. Su unidad = es el litro y equivale a 1 dm3 (1l =3D 1dm3). Como no se deriva de ninguna otra unidad, en la escala de unidades del litro nos movemos de 10 en 10.

 

1l =3D 10 dl =3D 10= 0 cl =3D 1000 ml=

 

8&nb= sp;    te toca ot= ra vez:

·      =   250 ml son ................ l

·      =   3 l son ....................... dl<= /p>

 

Para pasar de volumen (m3) a capacidad (l) tenemos que tener en cuenta que:

3D"Cuadro
 =


        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;        

        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;        

        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;                 =  

 

 

 

 

V= olumen

(= 1000)

 

 

=        &nbs= p; 

=        &nbs= p;   m3

       

= =        

        dm3

 

= =         

        cm3

 

C= apacidad

(= 10)

 

 

 

  =   kl

 

 hl

 

 dal

 

 l

 

  =   dl

 

cl

 

  = ml

 

 

 

 

por ejemplo, si queremos expresar la capacidad de 3,5 m3, tenemos primero que saber cuantos dm3 son y luego expresarlo en litros

 

3,5 m3 =3D 3500 dm3, o se= a 3500 l

 

y al revés, si queremos saber el volumen de 800 dl primero tendremos que pasarlo a litros y luego expresarlo en forma de dm3:

 

800 dl =3D 80 l, o = sea 80 dm3

 

8&nb= sp;    Es tu turn= o:

·      =   15 ml son ..............        =       cm3

·      =   700 cl son ..............        =       m3

 

 

<= b>1.          &nbs= p;     La densidad:

 

La densidad es la relación que existe entre la m= asa de un cuerpo y el volumen que ocupa, lo que es equivalente a decir: “= ;los gramos que hay en un cm3

3D"Cuadro
 =


        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =                  =             

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =                  

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =                  =            

 

 

Para la unidad de la densidad tomamos como referencia al agua, porque 1 c= m3 de agua tiene exactamente 1 g, o lo que es lo mismo, 1 g de agua ocupa 1 cm= 3

 

Por eso:

 

-      =   los materi= ales que son más densos que el agua tienen densidades mayores que 1. Por ejemplo, la densidad del cuarzo es de 2,7 g/cm3, lo que con pala= bras “normales” quiere d= ecir que un cm3 de cuarzo pesa 2,7 g;  o bien que 2,7 g de cuarzo oc= upan un volumen de 1 cm3

 

-      =   los materi= ales que son menos densos que el agua tienen densidades menores que 1. Por ejemp= lo la densidad del corcho es 0,7 g/cm3, lo que significa que = un cm3 de corcho pesa 0,7g  o lo que es igual que 0,7 g de corcho ocupan un volumen de 1 cm3

 

 

8  = La densidad es una propiedad intensiva (o constante) de cada material porque n= os expresa la masa que hay en 1cm3 de ese material, sea cual sea la cantidad de material que tengamos. Tu puedes= tener 10 Kg de oro, o sólo 4, pero su densidad= en ambos casos será la misma. Sólo tienes que averiguar lo que p= esa 1 sólo cm3 de ese oro, que en ambos casos es lo mismo: es 19,3 g.

 

 

 

 

 

 

 

 

 

 

 

  &nb= sp;            =                 =         19,3 g     =        =3D<= /span>  &nb= sp;          =   19,3 g

 

 

8  = Ahora vamos a practicar: Si la densidad del oro es de 19,3 g/cm3 ¿podemos saber qué volumen ocuparán 3 kg de oro?

 

Es muy fácil: primero tenemos que  expresar los 3 kg en g,  es decir     3kg =3D 3000 g

 

  &nb= sp;            =   También sabemos que 19,3 g ocupan un volumen de 1 cm3, así que haciendo una regla de tres, tenemos que:

 

 =


Si     19,3 g       ocupan      1 cm3=                &= nbsp;           &nbs= p;           30= 00g x1cm3   =3D  155,44 cm3

         3000 g   ocuparán   &n= bsp; X cm3   &= nbsp;         =             &nb= sp;            =       19,3g

 

 

Da igual que lo hagas con regla de tres o con quebrados o fracciones, el resultado es el mismo:    

 =


        &= nbsp;           &nbs= p;            &= nbsp; 19,3 gr    =3D     3000 gr              =            1cm3 x 3000g  =3D  155,44 cm3

        =             &nb= sp;             =    1 cm3        =       x cm3        =             &nb= sp;           19,3g

 

 

Es decir, que 3 kg = de oro (300 g) ocupan un volumen de 155,44 cm3

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